Right Triangle Trigonometry
A right triangle has an angle of 30o and a hypotenuse of 10 units. Find the length of the side opposite the 30o angle.
What is x = 5?
The solution(s) when you solve the following for x: |2x−5|=9
What is x = -2 and 7?
This is the solution for log3(x+4)=2
What is 5?
This is the domain and range of f(x) = -x2
What is domain: All Real Numbers and range: y <= 0
This is the number you need to add in order to complete the square for x2 - 10x
What is 25?
A right triangle has an angle of 45° and an adjacent side of 7 units. Find the length of the opposite side.
What is x = 7?
Solution(s) when you solve for x: 4(x−3)+2x=3(x+5)−7
What is x = 20/3?
Solution(s) when you solve for x: 23x+1⋅22x−3=210
What is x = 12/5?
Come up to the board and draw f(x) = x3
These are the solutions to
x(x - 1)(x + 2) = 0
What are x = 0, 1, -2?
A right triangle has an adjacent side of 6 units and a hypotenuse of 10 units. Find the angle θ between them.
What is θ = 53o?
Solution(s) when you solve for x: square root of (x+5) = x-1
What is x = 4? (can't be -1)
This is the solution for 5⋅23x=40
What is x = 1?
A parabola with the equation y = (x + 4)2 + 7 has this vertex
What is (-4, 7)?
Solve
x2 + 3x - 10 = 0
What is x = 2, -5?
For a right triangle with legs 4 and 10, and angle A between leg of 4 and the hypotenuse, this is sin(A).
What is 10 over the square root of 116?
(Or 0.93)
The solution(s) when you solve for x: 2/(x-1) + 5/(x+2)
What is x = 3?
In the equation y = 18(1.085)x, this is the initial/starting value.
What is 18?
These are the transformations applied to f(x)=|x| to get: g(x)=−|x−3|
What is shift right 3 and refllected over the x axis?
This is what it looks like to stand on your chair and sing the quadratic formula.
A 33-ft ladder leans against a building so that the angle between the ground and the ladder is 80°. This is how high the ladder reaches up the side of the building.
What is 32.5 feet?
Solution(s) when you solve for x: square root of (x+4) + 2 = x
What is x = 5? (can't be 0)
in the equation y = 18(1.085)x, this is the percentage of growth
What is 8.5% ?
Come up to the board and draw f(x) = |x+3| - 5
Solve by completing the square:
a2 + 6a = 27
What is a = 3, -9 ?